Alexander Lukashevich said officials want to determine if the attacks were "deliberate actions aimed against Russian nationals and the interests of Syria," RIA Novosti reported Wednesday.
Five shells hit the al-Adwi district of the Syrian capital where the Russian Embassy is located. No one at the embassy was injured, but a civilian was killed and a Syrian security officer injured.
During the weekend, Russia blocked a U.N. resolution drafted by Britain that criticized Syria's offensive in the town of Qusair. Russia called the draft "unilateral" and "not reflecting the real situation in Syria, particularly in Qusair."
On Monday, the Supreme Military Council of the Syrian opposition forces sent a statement to the U.N. Security Council demanding Russia end its efforts to "prevent international intervention" in Syria.
Syria announced Tuesday that its forces were in full control of Qusair. The United Nations says about 1,500 civilians wounded in the fighting are still trapped in the town.